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450433020423345 = 3573103157209912119
BaseRepresentation
bin110011001101010101001110…
…0001011010110110010110001
32012001211222100122202001112220
41212122222130023112302301
5433014343311212021340
64233554023430511253
7163606466102260341
oct14632523413266261
92161758318661486
10450433020423345
1112058163129a953
1242628b2b205529
13164448616596ab
147d33108660d21
153711be353aed0
hex199aa9c2d6cb1

450433020423345 has 128 divisors (see below), whose sum is σ = 742771620864000. Its totient is φ = 233014896211968.

The previous prime is 450433020423319. The next prime is 450433020423361. The reversal of 450433020423345 is 543324020334054.

It is a de Polignac number, because none of the positive numbers 2k-450433020423345 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 450433020423297 and 450433020423306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37167501196 + ... + 37167513314.

It is an arithmetic number, because the mean of its divisors is an integer number (5802903288000).

Almost surely, 2450433020423345 is an apocalyptic number.

It is an amenable number.

450433020423345 is a deficient number, since it is larger than the sum of its proper divisors (292338600440655).

450433020423345 is a wasteful number, since it uses less digits than its factorization.

450433020423345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559.

The product of its (nonzero) digits is 2073600, while the sum is 42.

Adding to 450433020423345 its reverse (543324020334054), we get a palindrome (993757040757399).

The spelling of 450433020423345 in words is "four hundred fifty trillion, four hundred thirty-three billion, twenty million, four hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 15 73 103 157 219 309 365 471 515 785 1095 1545 2099 2355 6297 7519 10495 11461 12119 16171 22557 31485 34383 36357 37595 48513 57305 60595 80855 112785 153227 171915 181785 216197 242565 329543 459681 648591 766135 884687 988629 1080985 1180483 1248257 1647715 1902683 2298405 2654061 3242955 3541449 3744771 4423435 4943145 5708049 5902415 6241285 9513415 13270305 15782381 17707245 18723855 24056639 25437781 28540245 33942929 47347143 72169917 76313343 78911905 91122761 101828787 120283195 127188905 138895859 169714645 195976349 236735715 273368283 360849585 381566715 416687577 455613805 509143935 587929047 694479295 979881745 1366841415 1856958013 2083437885 2477833817 2620091443 2939645235 3993731617 5570874039 7433501451 7860274329 9284790065 11981194851 12389169085 13100457215 14306273477 19968658085 27854370195 37167507255 39301371645 42918820431 59905974255 71531367385 191266675339 214594102155 291542408041 411354356551 573800026017 874627224123 956333376695 1234063069653 1457712040205 2056771782755 2869000130085 4373136120615 6170315348265 30028868028223 90086604084669 150144340141115 450433020423345